摘要
A numerical approximation of grazing manifold is proposed via the digraph cell mapping method. The global dynamics of grazing-induced crisis for a typical Duffing vibro-impact system are then investigated. The results reveal that, the singularity caused by the grazing nature of periodic orbits can induce a bifurcation where a periodic saddle and a chaotic saddle arise simultaneously. When the stable and unstable manifolds of the periodic saddle undergo the tangency, a boundary crisis occurs and a chaotic attractor is then brought from the chaotic saddle. Also, grazing phenomenon of periodic orbits induced by noise can be observed. This grazing phenomenon can induce a novel interior crisis, where a chaotic attractor arises due to the collision of this periodic attractor and the chaotic saddle.
源语言 | 英语 |
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页(从-至) | 30-36 |
页数 | 7 |
期刊 | Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics |
卷 | 45 |
期 | 1 |
DOI | |
出版状态 | 已出版 - 1月 2013 |